基本概念 样本空间: 随机试验E的所有可能结果组成的集合, 为E的样本空间, 记为S 随机事件: E的样本空间S的子集为E的随机事件, 简称事件, 由一个样本点组成的单点集, 称为基本事件 对立事件/逆事件: 若A并B=S, 且A交B=空, 则称A与B互为逆事件, A与B互为对立事件. A上面加一横即A的逆事件 频率: 在相同的条件下进行了n次试验, 事件A发生的次数为A的频数, 与n的比值成为A的频率 概率: 设E为随机试验, S是E的样本空间, 对于E的每一个事件A赋予一个实数, 记为P(A…

PDF version PDF & CDF The exponential probability density function (PDF) is $$f(x; \lambda) = \begin{cases}\lambda e^{-\lambda x} & x\geq0\\ 0 & x < 0 \end{cases}$$ The exponential cumulative distribution function (CDF) is $$F(x; \lambda) =…

1.Probability mass functions (pmf) and Probability density functions (pdf) pmf 和 pdf 类似,但不同之处在于所适用的分布类型 PMF -> <font color='green'>discrete distributions</font>, while pdf -> <font color='green'>continuous distributions</font>…

Basics of Probability Probability density function (pdf). Let X be a continuous random variable. Then a probability distribution or probability density function (pdf) of X is a function f(x) such that any two numbers a and b with That is, the probabi…

5.1Probability Basics uncertainty is inherent in inferential statistics,因为总是需要样本估计总体,The science of uncertainty is called probability theory.学习概率分布帮助我们通过样本分析总体的相关数据(eg,mean...) Basically, by an experiment, we mean an action whose outcome cannot be pr…

Problem Description Mickey is interested in probability recently. One day , he played a game which is about probability with mini.First mickey gives a letter and a word to mini.Then mini calculate the probability that the letter appears in the word.F…

The Basics of Probability Probability measures the amount of uncertainty of an event: a fact whose occurence is uncertain. Sample space refers to the set of all possible events, denoted as . Some properties: Sum rule: Union bound: Conditional probabi…

Probability 链接:http://acm.hdu.edu.cn/showproblem.php?pid=2131 Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 8731    Accepted Submission(s): 4228 Problem Description Mickey is interested in pro…

http://acm.hdu.edu.cn/showproblem.php?pid=2131 Problem Description Mickey is interested in probability recently. One day , he played a game which is about probability with mini.First mickey gives a letter and a word to mini.Then mini calculate the pr…

Case Study The case study Physicians' Reactions sought to determine whether physicians spend less time with obese patients. Physicians were sampled randomly and each was shown a chart of a patient complaining of a migraine headache. They were then as…